begin to or begin -ing

[Srdjan]

hi,

Jane has just begun learning to drive.
He was beginning to get angry after so much waiting.

i know that either form is correct, but I can't still make a clear difference between them. Can you give me some explanation how to proceed ?

thanx,
Srdjan

[Tdol]

I use the -ing form for a longer action and the infinitive for a shorter one.